# Calculus

posted by Anonymous

Find the point on the line -3x+5y-5=0 which is closest to the point (-4,0). Please Help!

1. Steve

the slope of the given line is 3/5.

So, you want a perpendicular line through (-4,0). That line will be

y = -5/3 (x+4)

The two lines intersect at (-115/34,-35/34)

Now just find the distance between those two points

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